find a set of parametric equations for the line through the point and parallel to the specified vector.

Question

(1, -8, -3), parallel to (-1, 6, -6)

find symmetric equations for the line through the point and parallel to the specified vector.
(5, -2, -4), parallel to (3, 6, 8)

Answer 1

1.
x = 1 - t
y = -8 + 6t
z = -3 - 6t

2.

(x-5)/3 = (y+2)/6 = (z+4)/8

did you notice the pattern in the two answers ?